In this section we consider the SSPERK\((10,4)\)  method which has simple rational coefficients [1]}. This method is popular in the literature and applications because it allows for a low-storage implementation [2]}. Furthermore, it has \({\mathcal {C}}=6\) . The corresponding Butcher matrix of SSPERK\((10,4)\)  is
\(A = \begin{tikzpicture}[baseline={(m.center)}][matrix of math nodes,left delimiter=(,right delimiter=)] (m){0 & & & & & & & \\\frac{1}{6} & & & & & & & \\\frac{1}{6} & \frac{1}{6} & & & & & & \\\frac{1}{6} & \frac{1}{6} & \frac{1}{6} & & & & & \\\frac{1}{6} & \frac{1}{6} & \frac{1}{6} &\frac{1}{6} & & & & & & \\\frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & & & \\\frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{6} & & \\\frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{6} & \frac{1}{6} & \\\frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6}\\\frac{1}{15} & \frac{1}{15} & \frac{1}{15}& \frac{1}{15}& \frac{1}{15} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6}& \frac{1}{6} & 0 \\};[loosely dotted] (m-1-1)-- (m-10-10);\end{tikzpicture}\) 
